Visualising and representing

  • Funny Factorisation
    problem
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    Funny Factorisation

    Age
    11 to 16
    Challenge level
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    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

  • problem
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    Marbles in a Box

    Age
    11 to 16
    Challenge level
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    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • LOGO Challenge - Triangles-Squares-Stars
    problem

    Logo Challenge - Triangles-Squares-Stars

    Age
    11 to 16
    Challenge level
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    Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

  • Take Three From Five
    problem
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    Take Three From Five

    Age
    11 to 16
    Challenge level
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    Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

  • Tourism
    problem
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    Tourism

    Age
    11 to 16
    Challenge level
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    If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

  • Searching for mean(ing)
    problem
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    Searching for Mean(ing)

    Age
    11 to 16
    Challenge level
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    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

  • Cuboid challenge
    problem
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    Cuboid Challenge

    Age
    11 to 16
    Challenge level
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    What's the largest volume of box you can make from a square of paper?

  • Wipeout
    problem
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    Wipeout

    Age
    11 to 16
    Challenge level
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    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • 11x11 square
    problem

    11x11 Square

    Age
    11 to 16
    Challenge level
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    Here's a neat trick you can do with an 11 by 11 square...